What is the Least Common Multiple of 90048 and 90057?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 90048 and 90057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90048 and 90057, than apply into the LCM equation.

GCF(90048,90057) = 3
LCM(90048,90057) = ( 90048 × 90057) / 3
LCM(90048,90057) = 8109452736 / 3
LCM(90048,90057) = 2703150912

Least Common Multiple (LCM) of 90048 and 90057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90048 and 90057. First we will calculate the prime factors of 90048 and 90057.

Prime Factorization of 90048

Prime Factorization of 90057

Now multiplying the highest exponent prime factors to calculate the LCM of 90048 and 90057.

LCM(90048,90057) = 2⁶ × 3¹ × 7¹ × 67¹ × 11¹ × 2729¹
LCM(90048,90057) = 2703150912